(x+3)+(3x-1)+4x=34

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Solution for (x+3)+(3x-1)+4x=34 equation:


Simplifying
(x + 3) + (3x + -1) + 4x = 34

Reorder the terms:
(3 + x) + (3x + -1) + 4x = 34

Remove parenthesis around (3 + x)
3 + x + (3x + -1) + 4x = 34

Reorder the terms:
3 + x + (-1 + 3x) + 4x = 34

Remove parenthesis around (-1 + 3x)
3 + x + -1 + 3x + 4x = 34

Reorder the terms:
3 + -1 + x + 3x + 4x = 34

Combine like terms: 3 + -1 = 2
2 + x + 3x + 4x = 34

Combine like terms: x + 3x = 4x
2 + 4x + 4x = 34

Combine like terms: 4x + 4x = 8x
2 + 8x = 34

Solving
2 + 8x = 34

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + 8x = 34 + -2

Combine like terms: 2 + -2 = 0
0 + 8x = 34 + -2
8x = 34 + -2

Combine like terms: 34 + -2 = 32
8x = 32

Divide each side by '8'.
x = 4

Simplifying
x = 4

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